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Finding the Third Proportional to 32,020 and 74,436

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Solution

The third proportional to 32,020 and 74,436 is: 173,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020 : 74,436 = 74,436 : x
  2. Step 2: Convert to fraction form
    32,020/74,436 = 74,436/x
  3. Step 3: Cross multiply
    32,020x = 74,436 × 74,436
  4. Step 4: Simplify right side
    32,020x = 5,540,718,096
  5. Step 5: Solve for x
    x = 5,540,718,096/32,020
  6. Step 6: Final answer
    x = 173,039.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.